135351312 has 40 divisors (see below), whose sum is σ = 353132160. Its totient is φ = 44668800.

The previous prime is 135351311. The next prime is 135351317. The reversal of 135351312 is 213153531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135351311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9112 + ... + 18807.

It is an arithmetic number, because the mean of its divisors is an integer number (8828304).

Almost surely, 2^135351312 is an apocalyptic number.

135351312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135351312 is an abundant number, since it is smaller than the sum of its proper divisors (217780848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135351312 is a wasteful number, since it uses less digits than its factorization.

135351312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28031 (or 28025 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 135351312 is about 11634.0582773166. The cubic root of 135351312 is about 513.4373875008.

The spelling of 135351312 in words is "one hundred thirty-five million, three hundred fifty-one thousand, three hundred twelve".